Geometric Phase of the Two-Particle Bethe Wavefunction

• URL: http://arxiv.org/abs/2512.01243v1
• Date: Mon, 01 Dec 2025 03:43:21 GMT
• Title: Geometric Phase of the Two-Particle Bethe Wavefunction
• Authors: V. A. Tomilin, A. M. Rostom, L. V. Il'ichov,
• Abstract summary: We consider a problem of geometric phase generation in a system of two interacting bosons confined in a narrow ring potential with a localized defect.<n>It is shown that the interaction leads to increase of the geometric phase for a given contour of variations.<n>The work is motivated by earlier proposed ideas of quantum gyroscope and quantum accelerometer based on atomic Bose-Einstein condensates.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider a problem of geometric phase generation in a system of two interacting bosons confined in a narrow ring potential with a localized defect. Geometric phase emerges from variation of parameters of the defect. Particle interaction is taken into account within a framework of the Lieb-Liniger model. The energy spectrum is evaluated and its dependence on the parameters of the problem is described. It is shown that the interaction leads to increase of the geometric phase for a given contour of variations. The work is motivated by earlier proposed ideas of quantum gyroscope and quantum accelerometer based on atomic Bose-Einstein condensates.

Related papers

• Emergence of the molecular geometric phase from exact electron-nuclear dynamics [0.0]
  In chemistry, geometric phases appear when a reaction path encircles an intersection between adiabatic potential energy surfaces. Recent works have shown that the geometric phase is an artifact of the adiabatic approximation, challenging the perceived utility of the concept in molecules. We introduce instantaneous, gauge invariant phases separately for the electrons and for the nuclei, and use them to monitor the phase difference between the trailing edges of a wavepacket encircling a conical intersection.
  arXiv  Detail & Related papers  (2024-02-02T14:54:03Z)
• Geometric Phase of a Transmon in a Dissipative Quantum Circuit [44.99833362998488]
  We study the geometric phases acquired by a paradigmatic setup: a transmon coupled to a superconductor resonating cavity. In the dissipative model, the non-unitary effects arise from dephasing, relaxation, and decay of the transmon coupled to its environment. Our approach enables a comparison of the geometric phases obtained in these models, leading to a thorough understanding of the corrections introduced by the presence of the environment.
  arXiv  Detail & Related papers  (2024-01-22T16:41:00Z)
• Geometric phase and wave-particle duality of the photon [0.0]
  We study the geometric phase of a photon in double-slit interference. The relation can be seen as quantifying wave-particle duality of the photon via the geometric phase.
  arXiv  Detail & Related papers  (2023-10-31T08:40:24Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• On the geometric phases in entangled states [0.0]
  Correlation relations for the spin measurements on a pair of entangled particles are investigated. In some cases the geometric phase information is carried over to the final bipartite entangled state.
  arXiv  Detail & Related papers  (2022-08-30T06:56:27Z)
• Geometric phase assisted enhancement of non-inertial cavity-QED effects [0.0]
  We study the geometric phase response of a circularly rotating detector inside an electromagnetic cavity. We show that the accumulative nature of the geometric phase may facilitate the experimental observation of the resulting, otherwise feeble, non-inertial contribution.
  arXiv  Detail & Related papers  (2022-04-13T18:26:43Z)
• Quantum phases of dipolar bosons in one-dimensional optical lattices [0.0]
  We theoretically analyze the phase diagram of a quantum gas of bosons that interact via repulsive dipolar interactions. Our results predict that correlated tunneling can significantly modify the parameter range of the topological insulator phase.
  arXiv  Detail & Related papers  (2021-12-20T08:23:15Z)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Quantum asymmetry and noisy multi-mode interferometry [55.41644538483948]
  Quantum asymmetry is a physical resource which coincides with the amount of coherence between the eigenspaces of a generator. We show that the asymmetry may emphincrease as a result of a emphdecrease of coherence inside a degenerate subspace.
  arXiv  Detail & Related papers  (2021-07-23T07:30:57Z)
• Qubit-photon bound states in topological waveguides with long-range hoppings [62.997667081978825]
  Quantum emitters interacting with photonic band-gap materials lead to the appearance of qubit-photon bound states. We study the features of the qubit-photon bound states when the emitters couple to the bulk modes in the different phases. We consider the coupling of emitters to the edge modes appearing in the different topological phases.
  arXiv  Detail & Related papers  (2021-05-26T10:57:21Z)
• Rectification induced by geometry in two-dimensional quantum spin lattices [58.720142291102135]
  We address the role of geometrical asymmetry in the occurrence of spin rectification in two-dimensional quantum spin chains. We show that geometrical asymmetry, along with inhomogeneous magnetic fields, can induce spin current rectification even in the XX model.
  arXiv  Detail & Related papers  (2020-12-02T18:10:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.